Greatest Common Factor of 9131 and 9138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9131, 9138 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9131 and 9138 is 1.

GCF(9131,9138) = 1

GCF of 9131 and 9138

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9131 and 9138

GCF of 9131 and 9138 is 1

Prime Factorization of 9131


23 9131
397 397
1

Prime factors of 9131 are 23,397. Prime factorization of 9131 in exponential form is:

9131 = 231×3971

Prime Factorization of 9138


2 9138
3 4569
1523 1523
1

Prime factors of 9138 are 2,3,1523. Prime factorization of 9138 in exponential form is:

9138 = 21×31×15231

∴ So by taking common prime factors GCF of 9131 and 9138 is 1

Greatest Common Factor of 9131 and 9138 by matching factors method

Factors of 9131

List of positive integer factors of 9131 that divides 9131 without a remainder.

1,23,397,9131

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Greatest Common Factor

We found the factors and prime factorization of 9131 and 9138. The biggest common factor number is the GCF number.
So the greatest common factor 9131 and 9138 is 1.

Also check out the Least Common Multiple of 9131 and 9138

Properties of GCF 9131 and 9138

(i) The GCF of 9131 and 9138 is associative

GCF of 9131 and 9138 = GCF of 9138 and 9131

Related Greatest Common Factor of 9131

Related Greatest Common Factor of 9138

Frequently Asked Questions on GCF of 9131 and 9138

1. What is the GCF of 9131 and 9138?

Answer: GCF of 9131 and 9138 is 1.

2. What are the Factors of 9131?

Answer: Factors of 9131 are 1, 23, 397, 9131. There are 4 integers that are factors of 9131. The greatest factor of 9131 is 9131.

3. What are the Factors of 9138?

Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.

4. How to Find the GCF of 9131 and 9138?

Answer:

Greatest Common Factor of 9131 and 9138 = 1

Step 1: Find the prime factorization of 9131

9131 = 23 x 397

Step 2: Find the prime factorization of 9138

9138 = 2 x 3 x 1523

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 9131 and 9138 is 1